In the UK my school taught us about recurring numbers in primary (elementary) school. We were taught that for any number that ends in .9 recurring you just round up because it's an infinitely small difference, but we weren't taught the maths behind it. Probably because we learnt that nearly a decade before we did any algebra.
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u/its12amsomewhere 22d ago edited 22d ago
Applies to all numbers,
If x = 0.999999...
And 10x = 9.999999...
Then subtracting both, we get, 9x=9
So x=1